13. Заполните таблицу истинности выражения: (¬A ∨ D) ∧ (B ∨ C).

Таблица истинности для выражения (¬A ∨ D) ∧ (B ∨ C): | A | B | C | D | ¬A | ¬A ∨ D | B ∨ C | (¬A ∨ D) ∧ (B ∨ C) | |---|---|---|---|----|--------|-------|---------------------| | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 0 | | 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | | 0 | 0 | 1 | 0 | 1 | 1 | 1 | 1 | | 0 | 0 | 1 | 1 | 1 | 1 | 1 | 1 | | 0 | 1 | 0 | 0 | 1 | 1 | 1 | 1 | | 0 | 1 | 0 | 1 | 1 | 1 | 1 | 1 | | 0 | 1 | 1 | 0 | 1 | 1 | 1 | 1 | | 0 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | | 1 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 0 | | 1 | 0 | 1 | 1 | 0 | 1 | 1 | 1 | | 1 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | | 1 | 1 | 0 | 1 | 0 | 1 | 1 | 1 | | 1 | 1 | 1 | 0 | 0 | 0 | 1 | 0 | | 1 | 1 | 1 | 1 | 0 | 1 | 1 | 1 | Решение: Выражение (¬A ∨ D) ∧ (B ∨ C) истинно только тогда, когда (¬A ∨ D) истинно И (B ∨ C) истинно. (¬A ∨ D) истинно, если ¬A истинно ИЛИ D истинно. (B ∨ C) истинно, если B истинно ИЛИ C истинно. Ответ: | A | B | C | D | (¬A ∨ D) ∧ (B ∨ C) | |---|---|---|---|---------------------| | 0 | 0 | 0 | 0 | 0 | | 0 | 0 | 0 | 1 | 0 | | 0 | 0 | 1 | 0 | 1 | | 0 | 0 | 1 | 1 | 1 | | 0 | 1 | 0 | 0 | 1 | | 0 | 1 | 0 | 1 | 1 | | 0 | 1 | 1 | 0 | 1 | | 0 | 1 | 1 | 1 | 1 | | 1 | 0 | 0 | 0 | 0 | | 1 | 0 | 0 | 1 | 0 | | 1 | 0 | 1 | 0 | 0 | | 1 | 0 | 1 | 1 | 1 | | 1 | 1 | 0 | 0 | 0 | | 1 | 1 | 0 | 1 | 1 | | 1 | 1 | 1 | 0 | 0 | | 1 | 1 | 1 | 1 | 1 |